477820 has 24 divisors (see below), whose sum is σ = 1147104. Its totient is φ = 163776.

The previous prime is 477811. The next prime is 477821. The reversal of 477820 is 28774.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (477821) by changing a digit.

477820 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1567 + ... + 1846.

It is an arithmetic number, because the mean of its divisors is an integer number (47796).

2⁴⁷⁷⁸²⁰ is an apocalyptic number.

It is an amenable number.

477820 is an abundant number, since it is smaller than the sum of its proper divisors (669284).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

477820 is a wasteful number, since it uses less digits than its factorization.

477820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3429 (or 3427 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The square root of 477820 is about 691.2452531483. The cubic root of 477820 is about 78.1786394302.

The spelling of 477820 in words is "four hundred seventy-seven thousand, eight hundred twenty".